Basic partial fractions decomposition

Express a single rational function in partial fractions with distinct linear factors in the denominator, no further work required.

6 questions · Easy -1.2

1.02y Partial fractions: decompose rational functions
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OCR MEI C4 Q2
5 marks Easy -2.5
2 Express \(\frac { x + 1 } { ( 2 x - 1 ) }\) in partial fractions.
OCR MEI Paper 1 2022 June Q2
3 marks Easy -1.2
2 Express \(\frac { 13 - x } { ( x - 3 ) ( x + 2 ) }\) in partial fractions.
OCR MEI Paper 1 2023 June Q2
4 marks Easy -1.2
2 Express \(\frac { 5 x + 1 } { x ^ { 2 } - x - 12 }\) in partial fractions.
AQA Paper 2 2021 June Q5
3 marks Moderate -0.8
5 Express $$\frac { 5 ( x - 3 ) } { ( 2 x - 11 ) ( 4 - 3 x ) }$$ in the form $$\frac { A } { ( 2 x - 11 ) } + \frac { B } { ( 4 - 3 x ) }$$ where \(A\) and \(B\) are integers.
Pre-U Pre-U 9794/1 2013 November Q5
Easy -1.2
5 Express \(\frac { 7 - x } { ( x - 1 ) ( x + 2 ) }\) in partial fractions.
SPS SPS FM 2025 February Q3
4 marks Moderate -0.3
Express \(\frac{9x^2+43x+8}{(3+x)(1-x)(2x+1)}\) in partial fractions. [4]